Mathematica Interpolation function error

In summary, the "Mathematica Interpolation function error" refers to issues encountered when using the Interpolation function in Mathematica for data analysis or numerical computations. Common errors include problems with data formatting, insufficient data points, or incorrect assumptions about the data's continuity or smoothness. Users may receive error messages or unexpected results when trying to create interpolating functions that do not align with the provided dataset or encounter issues with extrapolation beyond the data range. Proper data preparation and understanding of interpolation methods are crucial for resolving these errors.
  • #1
Youssi
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TL;DR Summary
Interpolation error : :inder: The order-2 derivative of {1651.15,0.129739} is not a tensor.
Hello everyone,
I am relatively new to Mathematica, and I am encountering an issue when trying to interpolate numerical data imported from an Excel file.
Here are the steps I've taken:
I imported the numerical data from an Excel file into Mathematica.
I attempted to interpolate the data using the command:
[Lambda]Interp = Interpolation[lambda, InterpolationOrder -> 2];
However, I encountered the following error:
Interpolation::inder: The order-2 derivative of {1651.15,0.129739} is not a tensor.
As a new user, I'm unsure how to correct this issue. I would greatly appreciate any guidance or suggestions on resolving this error. If there are alternative approaches to achieve the interpolation, please feel free to share them.

Thank you in advance for your help!
 

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  • #2
How do you import the data?
 
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  • #3
This the command that i use to import data :
Lambda= Import["C:\\Users\\Documents\\Modélisation\\1_\\mathematica\\condu_therm_rer.xlsx"];
and this is how the data are displayed:
{{{707.637, 0.0556025}, {1280.52, 0.092702}, {1415.35, 0.0927435}, {1651.15, 0.129739}, {1887.03, 0.148273}, {2055.5, 0.166787}, {2257.63, 0.194541}, {2358.68, 0.213034}, {2527.14,0.231548}, {2560.66, 0.277712}, {2661.67, 0.305435}, {2729.01, 0.323918}, {2796.23, 0.370092}, {2930.91, 0.407057}, {2964.39, 0.462452}, {3132.67, 0.527119}, {3132.48, 0.573273}, {3300.75, 0.637941}, {3300.56, 0.684095}, {3401.5, 0.73028}, {3536.33, 0.730321}, {3637.83, 0.638044}, {3941.43, 0.582753}, {4110.08, 0.555112}, {4177.65, 0.51821}, {4346.19, 0.518262}, {4548.44, 0.518324}, {4683.08, 0.56452}, {4851.39, 0.619956}, {4851.12, 0.684572}, {4884.6, 0.739967}, {4951.87, 0.776911}, {4985.46, 0.804613}}}
 
  • #4
Youssi said:
This the command that i use to import data :
Lambda= Import["C:\\Users\\Documents\\Modélisation\\1_\\mathematica\\condu_therm_rer.xlsx"];
Mathematica imports multiple Excel worksheets all at once in the form of a list: {Sheet1, Sheet2, ...}. Since you only have one sheet, change your import statement to:
Lambda=Import["C:\\Users\\Documents\\Modélisation\\1_\\mathematica\\condu_therm_rer.xlsx"][[1]];
to extract your single sheet from the list. This removes the outermost set of braces and allows the interpolation to run successfully.
 
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  • #5
renormalize said:
Mathematica imports multiple Excel worksheets all at once in the form of a list: {Sheet1, Sheet2, ...}. Since you only have one sheet, change your import statement to:
Lambda=Import["C:\\Users\\Documents\\Modélisation\\1_\\mathematica\\condu_therm_rer.xlsx"][[1]];
to extract your single sheet from the list. This removes the outermost set of braces and allows the interpolation to run successfully.
Thank you very much! It worked.
 
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FAQ: Mathematica Interpolation function error

What causes the "Interpolation::indet" error in Mathematica?

The "Interpolation::indet" error in Mathematica occurs when the interpolation function encounters indeterminate values (e.g., NaN or Infinity) in the input data. This can happen if the data points provided for interpolation contain undefined or non-numeric values.

How can I fix the "Interpolation::inhr" error in Mathematica?

The "Interpolation::inhr" error indicates that the interpolation function has received an argument that is not a real number. To fix this, ensure that all input data points are real numbers and that there are no complex or symbolic expressions in the dataset.

Why does the "Interpolation::udeg" error occur, and how can I resolve it?

The "Interpolation::udeg" error occurs when the degree of the interpolation is higher than the number of data points. To resolve this, either reduce the degree of the interpolation or provide more data points to match the desired degree.

What does the "Interpolation::invdpts" error mean and how do I address it?

The "Interpolation::invdpts" error means that the data points provided for interpolation are invalid, often due to duplicate x-values with different y-values. To address this, ensure that each x-value in the dataset is unique and corresponds to a single y-value.

How can I handle the "Interpolation::interp" error when using the Interpolation function?

The "Interpolation::interp" error generally indicates a problem with the structure or format of the input data. To handle this error, verify that the data is correctly formatted as a list of points or a list of lists, and ensure that the data points are properly ordered and free of inconsistencies.

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